2018/12/05 by Zamkovoy, Simeon
#53D15 #Differential Geometry (math.DG) #FOS: Mathematics
paper · doi:10.48550/arxiv.1812.01979
In this paper, we introduce the trans-para-Sasakian manifolds and we study their geometry. These manifolds are an analogue of the trans-Sasakian manifolds in the Riemannian geometry. We shall investigate many curvature properties of these manifolds and we shall give many conditions under which the manifolds are either η-Einstein or Einstein manifolds.